SOLUTION: A division has 12 employees, 8 males and 4 females. (c) (3 points) Suppose that the committee should have one President which has to be a female and two ordinary members who

Question 1039046: A division has 12 employees, 8 males and 4 females.
(c) (3 points) Suppose that the committee should have one President
which has to be a female and two ordinary members who must be males.
How many different committees are possible?
I believe the answer is 4 * 8 * 7 * 9 * 8 * 7 = 112896
but I don't understand why or how it is done. I would like to learn to exactly to get the answer. Could someone please explain?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
No, you have three choices to make so you should only have three numbers multiplied together.
The first choice is a female so you have 4 candidates to choose from.
The second choice is a male so you have 8 candidates to choose from.
The third choice is also a male and since you already chose one, you only have 7 left.
So then,

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